from typing import List

class Solution:
    def removeElement(self, nums: List[int], val: int) -> int:
        # Initialize two pointers, one for iterating the list and one for the insertion point.
        i = 0
        k = 0

        while i < len(nums):
            if nums[i] != val:
                # If the current element is not equal to val, copy it to the insertion point.
                nums[k] = nums[i]
                k += 1
            i += 1

        return k

# Example usage and custom judge test
if __name__ == "__main__":
    solution = Solution()

    # Test case 1
    nums1 = [3, 2, 2, 3]
    val1 = 3
    k1 = solution.removeElement(nums1, val1)
    print(k1)  # Expected output: 2
    print(nums1[:k1])  # Expected output: [2, 2]

    # Test case 2
    nums2 = [0, 1, 2, 2, 3, 0, 4, 2]
    val2 = 2
    k2 = solution.removeElement(nums2, val2)
    print(k2)  # Expected output: 5
    print(nums2[:k2])  # Expected output: [0, 1, 4, 0, 3]